A Comprehensive Family of Biunivalent Functions Defined by k-Fibonacci Numbers. (31st October 2021)

• Record Type: Journal Article
• Authors: Frasin, Basem Aref; Swamy, Sondekola Rudra; Aldawish, Ibtisam
• Other Names: Raza Mohsan Academic Editor.
• Is Part Of: Journal of function spaces. Volume 2021(2021)
• Publication Date: 2021-10-31
• Subjects: Function spaces -- Periodicals; 515.7305
• DOI: 10.1155/2021/4249509
• Languages: English
• ISSNs: 2314-8896

Abstract

Abstract : By using k -Fibonacci numbers, we present a comprehensive family of regular and biunivalent functions of the type g z = z + ∑ j = 2 ∞ d j z j in the open unit disc D . We estimate the upper bounds on initial coefficients and also the functional of Fekete-Szegö for functions in this family. We also discuss few interesting observations and provide relevant connections of the result investigated.